• Top
  • Documentation
  • Books
  • Boolean-reasoning
  • Projects
  • Debugging
  • Std
  • Proof-automation
  • Macro-libraries
  • ACL2
  • Interfacing-tools
  • Hardware-verification
    • Gl
    • Esim
    • Vl2014
    • Sv
      • Svex-stvs
      • Svex-decomposition-methodology
      • Sv-versus-esim
      • Svex-decomp
      • Svex-compose-dfs
      • Svex-compilation
      • Moddb
      • Svmods
      • Svstmt
        • Svstmt-case
        • Svstmt-while
        • Svstmt-p
        • Svstmt-if
          • Make-svstmt-if
          • Svstmt-if->then
          • Svstmt-if->else
          • Svstmt-if->cond
          • Change-svstmt-if
        • Svstmt-equiv
        • Svstmt-xcond
        • Svstmt-scope
        • Svstmt-assign
        • Svstmt-compile
        • Svstmt-constraints
        • Svstmt-jump
        • Svstmtlist
        • Svstmt-kind
        • Svstmt.lisp
        • Svstmt-fix
        • Svstmt-count
      • Sv-tutorial
      • Expressions
      • Symbolic-test-vector
      • Vl-to-svex
    • Vwsim
    • Fgl
    • Vl
    • X86isa
    • Svl
    • Rtl
  • Software-verification
  • Math
  • Testing-utilities

• Svstmt-if

Svstmt-if->else

Get the else field from a svstmt-if.

Signature

(svstmt-if->else x) → else

Arguments

x — Guard (svstmt-p x).

Returns

else — Type (svstmtlist-p else).

This is an ordinary field accessor created by defprod.

Definitions and Theorems

Function: svstmt-if->else$inline

(defun svstmt-if->else$inline (x)
  (declare (xargs :guard (svstmt-p x)))
  (declare (xargs :guard (equal (svstmt-kind x) :if)))
  (let ((__function__ 'svstmt-if->else))
    (declare (ignorable __function__))
    (mbe :logic
         (b* ((x (and (equal (svstmt-kind x) :if) x)))
           (svstmtlist-fix (std::prod-cdr (std::prod-cdr (cdr x)))))
         :exec (std::prod-cdr (std::prod-cdr (cdr x))))))

Theorem: svstmtlist-p-of-svstmt-if->else

(defthm svstmtlist-p-of-svstmt-if->else
  (b* ((else (svstmt-if->else$inline x)))
    (svstmtlist-p else))
  :rule-classes :rewrite)

Theorem: svstmt-if->else$inline-of-svstmt-fix-x

(defthm svstmt-if->else$inline-of-svstmt-fix-x
  (equal (svstmt-if->else$inline (svstmt-fix x))
         (svstmt-if->else$inline x)))

Theorem: svstmt-if->else$inline-svstmt-equiv-congruence-on-x

(defthm svstmt-if->else$inline-svstmt-equiv-congruence-on-x
  (implies (svstmt-equiv x x-equiv)
           (equal (svstmt-if->else$inline x)
                  (svstmt-if->else$inline x-equiv)))
  :rule-classes :congruence)

Theorem: svstmt-if->else-when-wrong-kind

(defthm svstmt-if->else-when-wrong-kind
  (implies (not (equal (svstmt-kind x) :if))
           (equal (svstmt-if->else x)
                  (svstmtlist-fix nil))))